Practice and check
Worked example
Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row.
10 ≤ 10 ⇒ 10 − 3 = 7 → 7
- Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it.
- After each operation, replace x with its new value before testing the next condition. Equality uses the ≤ branch.
- x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤)
Check answers after trying
1: 7 2: 17 3: 8 4: 23 5: 5 6: 50
Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row.
Why this answer
- 1. 10 ≤ 10 ⇒ 10 − 3 = 7 → 7
- 2. 13 > 10 ⇒ 13 + 4 = 17 → 17
- 3. 10 ≤ 10 ⇒ 10 − 3 = 7; 7 ≤ 14 ⇒ 7 + 1 = 8 → 8
- 4. 15 > 10 ⇒ 15 + 4 = 19; 19 > 14 ⇒ 19 + 4 = 23 → 23
- 5. 10 ≤ 10 ⇒ 10 − 3 = 7; 7 ≤ 14 ⇒ 7 + 1 = 8; 8 ≤ 18 ⇒ 8 − 3 = 5 → 5
- 6. 17 > 10 ⇒ 17 + 4 = 21; 21 > 14 ⇒ 21 + 4 = 25; 25 > 18 ⇒ 25 × 2 = 50 → 50
- If an answer differs, return to the first step that differs and explain the choice. Change the answer after checking rather than guessing a new rule.
- Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.
- Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade.
Tips for Parents
What is on the sheet Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row. x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤) Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade. Try one example Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row. 10 ≤ 10 ⇒ 10 − 3 = 7 → 7. Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it. Check a difficulty After each operation, replace x with its new value before testing the next condition. Equality uses the ≤ branch. If an answer differs, return to the first step that differs and explain the choice. Change the answer after checking rather than guessing a new rule. Choose the next step x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤) Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.
What This Worksheet Builds
Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row. After each operation, replace x with its new value before testing the next condition. Equality uses the ≤ branch.
Next Step
x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤) Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.